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Topological Quantum Field Theory and Four-Manifolds

  • Marcos Mariño
Part of the Progress in Mathematics book series (PM, volume 202)

Abstract

I review some recent results on four-manifold invariants which have been obtained in the context of topological quantum field theory. I focus on three different aspects: (a) the computation of correlation functions, which give explicit results for the Donaldson invariants of non-simply connected manifolds, and for generalizations of these invariants to the gauge groupSU(N);(b) compactifications to lower dimensions, and connections to three-manifold topology and to intersection theory on the moduli space of flat connections on Riemann surfaces; (c) four-dimensional theories with critical behaviour, which give some remarkable constraints on Seiberg-Witten invariants and new results on the geography of four-manifolds.

Keywords

Modulus Space Gauge Group Intersection Pairing Modular Form Supersymmetric Gauge Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel AG 2001

Authors and Affiliations

  • Marcos Mariño
    • 1
  1. 1.Department of Physics and AstronomyRutgers UniversityPiscatawayUSA

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